how many triangles are there in the picture ?

Answer:12

Step-by-step explanation: I multiplied 3 times 4

The Lateral Surface Area of cone is 12  π  ft³

The lateral area of a cone is defined as the area covered by the curved surface of the cone. It is also called lateral surface area (LSA) or curved surface area (CSA) of a cone. A cone is a 3-D object which tapers smoothly from the flat circular base to a point. In other words, it is a shape formed by a set of line segments coming from the base that connects to a common point

example:

Find the lateral area of a cone having base radius of 21 units and height of 20 units. (Use π = 22/7)

Solution: Given that r = 21 units and h = 20 units

Thus, slant height of the cone, l = √(r2 + h2) = √(212 + 202) = √(441 + 400) = √841 = 29 units

We know, the lateral area of the cone = πrL

Lateral area of a cone = (22/7) × 21 × 29

= 22 × 3 × 29

= 1914 units2

Answer: The lateral surface area of the given cone is 1914 units2

Given:

l= 4 ft

r= 3 ft

Lateral area = πrl

Lateral area = π * 3 * 4

Lateral area = 12 π  ft³

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Answer:

(4x²+36) feet²

Step-by-step explanation:

Area of the pool = L × W

Take width as x and Length as 4x

4x × x = (4x²)feet² {area of pool}

Area of walkway = L × W

6 × 6 = 36feet²

Total area = 4x² + 36 feet²

Answer:

24 hours

Step-by-step explanation:

2+4+2 hours on Friday, Saturday, Sunday =8 hours per weekend

8 hours per weekend x 3 weekends = 24 total hours.

Answer:

D

Step-by-step explanation: :)

Answer:

Kadence Only

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

10√5 - 5√2

or

5(2√5 - √2)

Step-by-step explanation:

Given:

2√5(5 - 5√5)

Required:

Multiply and simplify

Solution:

2√5(5 - 5√5)

Apply distributive property by multiplying each term in the bracket by 2√5

2√5*5 - 2√5*5√5

2*5√5 - 2*5√5*√5

10√5 - 10√25

10√5 - 10*5

10√5 - 50

10√5 - (25*2)

10√5 - 5√2

Or

5(2√5 - √2)

Answer:

Step-by-step explanation:

Upon your arrival on Monday morning you observer a snail making its way up the wall of your cabin. Each day it carefully works it way 30 inches up the wall. At night it slips back down 12 inches. The cabin wall is 9 feet high

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

Given that each day the snail carefully works its way 30 inches up the wall, while at night it slips back down 12 inches. Therefore, the net distance that snail covers is 18 inches.

The distance covered by the snail in 4 days from Monday to Friday morning is,

Distance = 4 days × 18 inches = 72 inches

Distance covered on Friday = 30 inches

Total distance covered = 72 inches + 30 inches = 102 inches

The total distance covered before you leave on Friday is 102 inches.

Further, the height of the wall is 9 feet, therefore, the snail needs to cover a distance of 108 inches (1 foot = 12 inches). Also, since the distance covered by a snail in 5 days is 90 inches, the total distance is 108 inches.

Hence, If the snail started on Monday it will not reach the top of the cabin wall before you leave on Friday.

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Answer:

y = 100x + 200

Step-by-step explanation:

Answer:

157 in

Step-by-step explanation:

2x3.14x25 = 157 in  

Answer:

It costs Laura $ 5,184.86 to heat her house one day.

A 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

Step-by-step explanation:

Given that a kilowatt hour means 1 kilowatt of electricity used continuously for 1 hr, and the electric utility company in Laura's town charges $ 0.06001 for each kilowatt hour used, and Laura heats her house with three electric heaters that each use 1200 watts, to determine how much does it cost to heat a house in one day and how many hours would a 75 watt lightbulb have to stay on to result in one dollar for electricity charges the following calculations must be performed:

(3 x 1200 x 24) x 0.06001 = X

(3600 x 24) x 0.06001 = X

86400 x 0.06001 = X

5,184.86 = X

Therefore, it costs Laura $ 5,184.86 to heat her house one day.

1 watt = 0.001 kilowatt

75 watt = 0.075 kilowatt

1 / 0.075 = 13.333

1 / 0.06001 = 16,663

13,333 x 16,663 = 222.18

Therefore, a 75 watt lightbulb should be around 222 hours to consume a dollar in electricity.

Answer:

y<13/10

Step-by-step explanation:

Answer:

Ross's profit it 1,781.37

Step-by-step explanation:

$35 per person and 54 people= 35x54=1890

Profit= the amount of money he makes after his expenses.

1890-108.63=1781.37

Answer:

36

Step-by-step explanation:

7x + 8

x = 4

So, 7(4) = 28

28 + 8 = 36

Answer:

WT=63

Step-by-step explanation:

[tex] \frac{56}{5 \times x + 3} = \frac{40}{4 \times x - 3} \\ x = 12[/tex]

So

[tex]5 \times x + 3 = 5 \times 12 + 3 = 63[/tex]

Answer:

there aint no figure

Step-by-step explanation:

Answer:

yea there ain't no figure

Step-by-step explanation:

lololololololololol

Answer:

[tex]x \to f(x)[/tex]

[tex]0.25 \to -1[/tex]

[tex]0.5 \to -0.5[/tex]

[tex]1 \to 0[/tex]

[tex]2 \to 0.5[/tex]

[tex]4 \to 1[/tex]

[tex]8 \to 1.5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = log_4(x)[/tex]

[tex]x = 0.5[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(0.5) = log_4(0.5)[/tex]

Apply law of logarithm

[tex]f(0.5) = \frac{log(0.5)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(0.5) = -0.5[/tex]

[tex]x = 1[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(1) = log_4(1)[/tex]

Express 1 as 4^0

[tex]f(1) = log_4(4^0)[/tex]

Apply law of logarithm

[tex]f(1) = 0*log_4(4)[/tex]

[tex]f(1) = 0[/tex]

[tex]x = 2[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(2) = log_4(2)[/tex]

Apply law of logarithm

[tex]f(2) = \frac{log(2)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(2) = 0.5[/tex]

[tex]x = 4[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(4) = log_4(4)[/tex]

[tex]log_a(a) = 1[/tex]

So:

[tex]f(4) = 1[/tex]

[tex]x = 8[/tex]

[tex]f(x) = log_4(x)[/tex]

[tex]f(8) = log_4(8)[/tex]

Apply law of logarithm

[tex]f(8) = \frac{log(8)}{log(4)}[/tex]

Using a calculator, we have:

[tex]f(8) = 1.5[/tex]

So, the complete table is:

[tex]x \to f(x)[/tex]

[tex]0.25 \to -1[/tex]

[tex]0.5 \to -0.5[/tex]

[tex]1 \to 0[/tex]

[tex]2 \to 0.5[/tex]

[tex]4 \to 1[/tex]

[tex]8 \to 1.5[/tex]

Answer:

16.989

Step-by-step explanation:

Cosine angle = adjacent/ hypnosis

Cos 28 = 15/x  Multiply both sides by x

xCos 28 = 15x/x   x/x is 1

xCos 28 = 15(1)  Divide both sides by Cos 28

xCos 28/Cos 28 = 15 / Cos 28   Cos 28 / Cos 28 = 1

x = 15/Cos 28

x = 16.989

Answer:

the second and last one

....................

Answer:

B

Step-by-step explanation:

Kinda hard to explain but I'm pretty sure it's B

Answer:

They sold 30 adult tickets and 50 kids tickets.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the number of adult tickets sold

y is the number of kids tickets sold.

80 tickets are sold

This means that [tex]x + y = 80[/tex], or also, [tex]x = 80 - y[/tex]

For a Saturday matinee, adult tickets cost $7.50 and kids under 12 pay only $6.00. Tickets were sold for a total of $525.

This means that:

[tex]7.5x + 6y = 525[/tex]

Since [tex]x = 80 - y[/tex]

[tex]7.5(80 - y) + 6y = 525[/tex]

[tex]600 - 7.5y + 6y = 525[/tex]

[tex]1.5y = 75[/tex]

[tex]y = \frac{75}{1.5} = 50[/tex]

[tex]x = 80 - y = 80 - 50 = 30[/tex]

They sold 30 adult tickets and 50 kids tickets.

Answer: 7.5 miles

Step-by-step explanation:

think of it as a triangle; the bold line is the hypotenuse, or x.

 8   |\   x

      |_\              it's not a good triangle but you get the point

       6

and then get out pythagorean theorem: a^2+b^2=c^2

put the numbers in: 8^2 + 6^2 = x^2

do some math:

64+36=x^2

100=x^2 (and then find square root)

10=x

BUT, it said each unit was 3/4 of a mile, so we must multiply 10 by 3/4 to get the actual distance, which is 7.5

Answer:

2/15

Step-by-step explanation:

To find the reciprocal of a fraction switch the numerator and the denominator

7 1/2 = 15/2 = 2/15

Have a good day

Answer:

you would subtract thoose numbers

Step-by-step explanation:

Answer:

We write 4 times 4 because it includes 34,44,54,64in the data.

You would write 6 times the digit 4.

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given:

You write all numbers from 30 to 65 including 30 and 65.

And in between there are following numbers that have digit 4:

34, 40, 44, 54 and 64.

That means, we wrote 6 times digit 4.

Therefore, digit 4 would be written 6 times.

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Answer:

x = 12

Step-by-step explanation:

<CED = 180 - (9x-8)

= 180 - 9x +8

= 188 - 9x

Angle sum of triangle is 180

.'. (5x-10) + (50) + (180 - 9x +8) = 180

5x -10 + 50 + 188 -9x = 180

-4x = 180 + 10 - 50 - 188

-4x = -48

4x = 48

x = 12

Answer:

6g/cm^3

Step-by-step explanation:

The density of the cube would be 6 grams/cm^3. I got this answer by first finding the volume of the cube, 2^3 which gives me 8 cm as the initial volume of the cube. Then, the 48 grams of mass the cube has allows me to divide 48 / 8 which gave me 6. And 6 would be the density of the cube in grams.

Answer: 6g/cm^3

Hope this helps!

Answer:

p = 6 g/cm³

Step-by-step explanation:

Given: cube sides= 2 cm and 48 g

To find: The cube's density

Formula: [tex]{p} \frac{m}{V}[/tex]

Solution: Measure the height, width, and depth of the shipment in inches.

Multiply the three measurements (height x width x depth).

Divide the total cubic inches by 1,728 (the number of cubic inches in a cubic foot).

Divide the weight (in pounds) of the shipment by the total cubic feet.

p = density

m = mass

V = volume

Answer:

the answer is 43%

Step-by-step explanation: The answer is 43 and if you look up on you will find it because i know the answer

Answer:

ABE is 180-64.5= 115.5

EBE is 90-64.5= 25.5